Solve 5-(6-x)=4(3-2x)

$$5 - ( 6 - x ) = 4 ( 3 - 2 x )$$

Solve for x

$$x = \frac{13}{9} = 1\frac{4}{9} \approx 1.444444444$$

Steps for Solving Linear Equation

To find the opposite of 6-x, find the opposite of each term.

$$5-6-\left(-x\right)=4\left(3-2x\right)$$

The opposite of -x is x.

$$5-6+x=4\left(3-2x\right)$$

Subtract 6 from 5 to get -1.

$$-1+x=4\left(3-2x\right)$$

Use the distributive property to multiply 4 by 3-2x.

$$-1+x=12-8x$$

Add 8x to both sides.

$$-1+x+8x=12$$

Combine x and 8x to get 9x.

$$-1+9x=12$$

Add 1 to both sides.

$$9x=12+1$$

Add 12 and 1 to get 13.

$$9x=13$$

Divide both sides by 9.

$$x=\frac{13}{9}$$